Affine regular dodecahedron in GS-quasigroups (CROSBI ID 118715)
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Kolar-Begovć, Zdenka ; Volenec, Vladimir
engleski
Affine regular dodecahedron in GS-quasigroups
The concept of the affine regular dodecahedron is defined in any GS-quasigroup by means of twelve ARP relation which are valid for five out of twenty points. A number of statements about the connection of the corresponding vertices of the dodecahedron will be proved. Quaternary relations Par, GST, DGST can be found in these statements. The theorem of the unique determination of the affine regular dodecahedron by means of its four vertices which satisfy certain conditions will be proved. The geometrical interpretation of all mentioned concepts and relations will be given in some concrete GS-quasigroup.
GS-quasigroup; affine regular dodecahedron
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